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Finding the Third Proportional to 163,986.75 and 246,486.38

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Solution

The third proportional to 163,986.75 and 246,486.38 is: 370,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,986.75 : 246,486.38 = 246,486.38 : x
  2. Step 2: Convert to fraction form
    163,986.75/246,486.38 = 246,486.38/x
  3. Step 3: Cross multiply
    163,986.75x = 246,486.38 × 246,486.38
  4. Step 4: Simplify right side
    163,986.75x = 60,755,533,060.64
  5. Step 5: Solve for x
    x = 60,755,533,060.64/163,986.75
  6. Step 6: Final answer
    x = 370,490.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.